What is the derivative of (3-2sin(x)^5) ?

The derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4

What is the first derivative of (3-2sin(x)^5) ?

The first derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4

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\frac{d}{d x} ((3 - 2 sin (x))^{5})

- 10 cos (x) (3 - 2 sin (x))^{4}

Solution steps

\frac{d}{d x} ((3 - 2 sin (x))^{5})

Apply the chain rule:

5 (3 - 2 sin (x))^{4} \frac{d}{d x} (3 - 2 sin (x))

= 5 (3 - 2 sin (x))^{4} \frac{d}{d x} (3 - 2 sin (x))

\frac{d}{d x} (3 - 2 sin (x)) = - 2 cos (x)

= 5 (3 - 2 sin (x))^{4} (- 2 cos (x))

Simplify

= - 10 cos (x) (3 - 2 sin (x))^{4}

x \to - \infty lim (x, 2)

\int \frac{1}{cos ( 2 \cdot x )} d x

\frac{\partial}{\partial x} (3 x^{4} y^{2})

\int \frac{3 x}{4 - x} d x

\int x^{9} cos (x^{5}) d x

What is the derivative of (3-2sin(x)^5) ?
The derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4
What is the first derivative of (3-2sin(x)^5) ?
The first derivative of (3-2sin(x)^5) is -10cos(x)(3-2sin(x))^4